Answer:
4 seconds
Step-by-step explanation:
using the vertex formula of a quadratic,
, where (h,k) is the vertex
h is height and t is time in seconds
the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)
Height of 1/2
time of 2 seconds
it will take 2 additional seconds to reach the water again.
this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.
Step-by-step explanation:
1.5 : 2.5
= 1.5/2.5
15/25
3/5
the ratio is 3 : 5
Answer:
Five and Six hundred Forty one thousandths
Step-by-step explanation:
5.641 in words can be written as
the first number is considered same, decimal is considered as and and digits after decimal are considered as regular number.
So, 5.641 in word form is:
Five and Six hundred Forty one thousandths
The rate of change is also called the slope
the formula foe the rate of change is (y2-y1) / (x2-x1)
x1 = -3
x2 = 6
y1 = 14
y2 = -1
rate of change = (-1 - 14) / (6- (-3)
= -15 / 9
= -5/3
(f o g)(-3) = (f(g(-3))
Because g is on the inside, we carry out g first.
g(x) = x^2 - 3
Substitute -3 in for x.
g(-3) = (-3)^2 - 3 = 9 - 3 = 6
g(-3) = 6
Next, carry out f on the result of g(-3)
f(6) = 2(6) - 1
= 12 - 1
= 11
So the answer is 11.
